Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 91 | 48 | 59 | 0 | 74 | 0 | 0 | 116 |
N.S. |
1 | 1.06 | 0.56 | 0.69 | 0.00 | 0.86 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.455 | 0.137 | 0.805 | 0.000 | 0.272 | 0.000 | 0.000 | 17.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 38 | 44 | 0 | 61 | 0 | 0 | 111 |
N.S. |
1 | 1.00 | 0.64 | 0.75 | 0.00 | 1.03 | 0.00 | 0.00 | 1.88 |
time (sec) |
N/A | 0.319 | 0.097 | 0.887 | 0.000 | 0.267 | 0.000 | 0.000 | 1.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 75 | 160 | 997 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 2.42 | 15.11 | 3.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.274 | 1.293 | 0.416 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 94 | 82 | 168 | 803 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.45 | 1.26 | 2.58 | 12.35 | 3.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.226 | 23.595 | 0.440 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 104 | 108 | 186 | 0 | 278 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.02 | 1.75 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 0.383 | 23.843 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 145 | 120 | 202 | 0 | 300 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.83 | 1.40 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.672 | 0.546 | 26.059 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 226 | 80 | 95 | 0 | 121 | 0 | 0 | 542 |
N.S. |
1 | 1.11 | 0.39 | 0.47 | 0.00 | 0.60 | 0.00 | 0.00 | 2.67 |
time (sec) |
N/A | 1.157 | 0.228 | 145.824 | 0.000 | 0.279 | 0.000 | 0.000 | 24.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 165 | 70 | 85 | 0 | 108 | 0 | 0 | 456 |
N.S. |
1 | 1.13 | 0.48 | 0.58 | 0.00 | 0.74 | 0.00 | 0.00 | 3.12 |
time (sec) |
N/A | 0.839 | 0.478 | 47.744 | 0.000 | 0.270 | 0.000 | 0.000 | 21.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 125 | 60 | 75 | 0 | 95 | 0 | 0 | 349 |
N.S. |
1 | 1.08 | 0.52 | 0.65 | 0.00 | 0.82 | 0.00 | 0.00 | 3.01 |
time (sec) |
N/A | 0.615 | 0.189 | 5.284 | 0.000 | 0.264 | 0.000 | 0.000 | 17.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 93 | 50 | 62 | 0 | 82 | 0 | 0 | 146 |
N.S. |
1 | 1.04 | 0.56 | 0.70 | 0.00 | 0.92 | 0.00 | 0.00 | 1.64 |
time (sec) |
N/A | 0.446 | 0.101 | 1.906 | 0.000 | 0.271 | 0.000 | 0.000 | 17.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 360 | 172 | 1395 | 310 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 3.67 | 1.76 | 14.23 | 3.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 6.448 | 1.530 | 0.542 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 97 | 82 | 178 | 1383 | 276 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.87 | 1.89 | 14.71 | 2.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 0.348 | 32.647 | 0.545 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 108 | 150 | 188 | 0 | 294 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.42 | 1.77 | 0.00 | 2.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.527 | 0.567 | 58.659 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 148 | 151 | 204 | 0 | 320 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.05 | 1.42 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.723 | 0.839 | 157.072 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 189 | 161 | 220 | 0 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.88 | 1.21 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.914 | 0.820 | 0.939 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 30 | 35 | 0 | 44 | 0 | 57 | 36 |
N.S. |
1 | 1.00 | 1.11 | 1.30 | 0.00 | 1.63 | 0.00 | 2.11 | 1.33 |
time (sec) |
N/A | 0.212 | 0.179 | 0.855 | 0.000 | 0.265 | 0.000 | 0.559 | 13.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 85 | 73 | 146 | 182 | 0 | 65 | 0 |
N.S. |
1 | 1.00 | 2.24 | 1.92 | 3.84 | 4.79 | 0.00 | 1.71 | 0.00 |
time (sec) |
N/A | 0.205 | 0.621 | 0.899 | 0.423 | 0.301 | 0.000 | 0.563 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 77 | 82 | 791 | 294 | 0 | 134 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.26 | 12.17 | 4.52 | 0.00 | 2.06 | 0.00 |
time (sec) |
N/A | 0.338 | 0.315 | 22.382 | 0.478 | 0.324 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 154 | 106 | 193 | 0 | 347 | 0 | 150 | 0 |
N.S. |
1 | 1.10 | 0.76 | 1.38 | 0.00 | 2.48 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.795 | 0.227 | 1.220 | 0.000 | 0.305 | 0.000 | 1.037 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 86 | 155 | 0 | 316 | 0 | 113 | 0 |
N.S. |
1 | 1.08 | 0.83 | 1.49 | 0.00 | 3.04 | 0.00 | 1.09 | 0.00 |
time (sec) |
N/A | 0.518 | 0.157 | 1.052 | 0.000 | 0.306 | 0.000 | 1.003 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 83 | 112 | 0 | 262 | 0 | 108 | 0 |
N.S. |
1 | 1.00 | 1.14 | 1.53 | 0.00 | 3.59 | 0.00 | 1.48 | 0.00 |
time (sec) |
N/A | 0.340 | 0.088 | 0.970 | 0.000 | 0.299 | 0.000 | 0.993 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 64 | 93 | 0 | 158 | 0 | 59 | 0 |
N.S. |
1 | 1.00 | 1.39 | 2.02 | 0.00 | 3.43 | 0.00 | 1.28 | 0.00 |
time (sec) |
N/A | 0.221 | 0.056 | 0.879 | 0.000 | 0.306 | 0.000 | 0.653 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 130 | 136 | 698 | 294 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.53 | 1.60 | 8.21 | 3.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.418 | 0.799 | 0.862 | 0.682 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 109 | 105 | 175 | 0 | 417 | 0 | 326 | 0 |
N.S. |
1 | 1.01 | 0.97 | 1.62 | 0.00 | 3.86 | 0.00 | 3.02 | 0.00 |
time (sec) |
N/A | 0.519 | 0.140 | 23.940 | 0.000 | 0.309 | 0.000 | 1.013 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 159 | 118 | 343 | 0 | 446 | 0 | 423 | 0 |
N.S. |
1 | 1.08 | 0.80 | 2.33 | 0.00 | 3.03 | 0.00 | 2.88 | 0.00 |
time (sec) |
N/A | 0.849 | 0.274 | 25.804 | 0.000 | 0.342 | 0.000 | 1.015 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 183 | 199 | 124 | 215 | 0 | 414 | 0 | 210 | 0 |
N.S. |
1 | 1.09 | 0.68 | 1.17 | 0.00 | 2.26 | 0.00 | 1.15 | 0.00 |
time (sec) |
N/A | 1.065 | 0.439 | 1.190 | 0.000 | 0.318 | 0.000 | 1.004 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 154 | 114 | 193 | 0 | 387 | 0 | 179 | 0 |
N.S. |
1 | 1.06 | 0.79 | 1.33 | 0.00 | 2.67 | 0.00 | 1.23 | 0.00 |
time (sec) |
N/A | 0.787 | 0.327 | 0.979 | 0.000 | 0.299 | 0.000 | 1.185 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 109 | 104 | 145 | 0 | 336 | 0 | 157 | 0 |
N.S. |
1 | 1.04 | 0.99 | 1.38 | 0.00 | 3.20 | 0.00 | 1.50 | 0.00 |
time (sec) |
N/A | 0.525 | 0.332 | 0.964 | 0.000 | 0.330 | 0.000 | 1.150 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 94 | 149 | 0 | 329 | 0 | 108 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.94 | 0.00 | 4.27 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.378 | 0.210 | 0.847 | 0.000 | 0.306 | 0.000 | 1.035 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 93 | 149 | 0 | 327 | 0 | 108 | 0 |
N.S. |
1 | 1.00 | 1.21 | 1.94 | 0.00 | 4.25 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.341 | 0.120 | 0.858 | 0.000 | 0.327 | 0.000 | 0.745 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 120 | 181 | 199 | 0 | 491 | 0 | 47 | 0 |
N.S. |
1 | 1.05 | 1.59 | 1.75 | 0.00 | 4.31 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.546 | 2.615 | 0.913 | 0.000 | 0.340 | 0.000 | 0.509 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 144 | 152 | 129 | 450 | 0 | 518 | 0 | 387 | 0 |
N.S. |
1 | 1.06 | 0.90 | 3.12 | 0.00 | 3.60 | 0.00 | 2.69 | 0.00 |
time (sec) |
N/A | 0.812 | 0.850 | 26.794 | 0.000 | 0.342 | 0.000 | 1.165 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 200 | 177 | 511 | 0 | 536 | 0 | 473 | 0 |
N.S. |
1 | 1.08 | 0.96 | 2.76 | 0.00 | 2.90 | 0.00 | 2.56 | 0.00 |
time (sec) |
N/A | 1.133 | 1.741 | 22.391 | 0.000 | 0.388 | 0.000 | 1.757 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 183 | 199 | 135 | 215 | 0 | 455 | 0 | 219 | 0 |
N.S. |
1 | 1.09 | 0.74 | 1.17 | 0.00 | 2.49 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 1.090 | 1.353 | 1.119 | 0.000 | 0.306 | 0.000 | 1.097 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 155 | 125 | 168 | 0 | 404 | 0 | 188 | 0 |
N.S. |
1 | 1.07 | 0.86 | 1.16 | 0.00 | 2.79 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.822 | 0.868 | 1.107 | 0.000 | 0.299 | 0.000 | 1.047 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 113 | 116 | 197 | 0 | 403 | 0 | 139 | 0 |
N.S. |
1 | 1.06 | 1.08 | 1.84 | 0.00 | 3.77 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.541 | 0.677 | 1.093 | 0.000 | 0.313 | 0.000 | 1.148 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 112 | 115 | 192 | 0 | 399 | 0 | 139 | 0 |
N.S. |
1 | 1.05 | 1.07 | 1.79 | 0.00 | 3.73 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.485 | 0.663 | 0.851 | 0.000 | 0.300 | 0.000 | 1.200 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 112 | 52 | 192 | 0 | 403 | 0 | 139 | 0 |
N.S. |
1 | 1.05 | 0.49 | 1.79 | 0.00 | 3.77 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.468 | 0.068 | 0.965 | 0.000 | 0.325 | 0.000 | 0.858 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 144 | 156 | 211 | 247 | 0 | 585 | 0 | 78 | 0 |
N.S. |
1 | 1.08 | 1.47 | 1.72 | 0.00 | 4.06 | 0.00 | 0.54 | 0.00 |
time (sec) |
N/A | 0.729 | 6.453 | 1.014 | 0.000 | 0.388 | 0.000 | 0.655 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 174 | 190 | 169 | 473 | 0 | 606 | 0 | 424 | 0 |
N.S. |
1 | 1.09 | 0.97 | 2.72 | 0.00 | 3.48 | 0.00 | 2.44 | 0.00 |
time (sec) |
N/A | 1.093 | 1.964 | 22.851 | 0.000 | 0.380 | 0.000 | 1.259 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 62 | 83 | 0 | 161 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 1.29 | 1.73 | 0.00 | 3.35 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.230 | 0.192 | 0.942 | 0.000 | 0.316 | 0.000 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 127 | 109 | 698 | 301 | 0 | 69 | 0 |
N.S. |
1 | 1.00 | 1.46 | 1.25 | 8.02 | 3.46 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.395 | 0.739 | 0.886 | 0.929 | 0.282 | 0.000 | 0.566 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 383 | 421 | 105 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.791 | 0.281 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 353 | 381 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.586 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 326 | 351 | 66 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.431 | 0.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 691 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 5.215 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 2700 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 35.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 16.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 413 | 458 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.794 | 0.367 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 383 | 417 | 106 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.575 | 0.482 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 356 | 387 | 66 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.434 | 0.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 2694 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 31.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 15.934 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 2700 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 31.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 16.010 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 371 | 390 | 155 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.047 | 0.399 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 336 | 346 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.752 | 0.205 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 306 | 306 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 0.120 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.414 | 0.070 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 718 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 4.781 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 240 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 1.896 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 766 | 781 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.370 | 0.594 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 731 | 734 | 98 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.989 | 0.291 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 731 | 736 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.813 | 0.344 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 744 | 741 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.693 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 100 | 3007 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 33.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 17.580 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 100 | 3011 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 33.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 16.202 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 153 | 115 | 384 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.76 | 2.54 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.644 | 0.437 | 24.592 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 83 | 368 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.67 | 2.99 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.504 | 0.333 | 19.537 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 98 | 68 | 148 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.70 | 1.53 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 0.258 | 15.668 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 49 | 150 | 0 | 107 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 2.00 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.366 | 0.187 | 12.253 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 102 | 73 | 225 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.72 | 2.23 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 0.257 | 18.041 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 129 | 93 | 219 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.73 | 1.72 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.497 | 0.316 | 16.012 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 157 | 103 | 270 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.68 | 1.79 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.620 | 0.458 | 19.473 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 287 | 439 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.53 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.016 | 3.224 | 36.247 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 159 | 269 | 386 | 0 | 202 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.67 | 2.40 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.855 | 2.063 | 26.277 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 264 | 371 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.02 | 2.83 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 1.712 | 18.735 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 48 | 185 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.89 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 1.028 | 14.961 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 156 | 228 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.46 | 2.13 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 1.605 | 15.163 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 136 | 250 | 0 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.85 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.743 | 1.997 | 19.771 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 163 | 149 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.93 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.855 | 2.328 | 24.691 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 287 | 439 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.53 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.403 | 3.450 | 38.063 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 267 | 386 | 0 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.70 | 2.46 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 3.065 | 29.166 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 187 | 371 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.43 | 2.83 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.348 | 2.535 | 22.083 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 169 | 172 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 1.31 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 2.311 | 20.019 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 171 | 250 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 1.91 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 2.132 | 18.329 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 146 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 2.452 | 25.944 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 3.070 | 34.230 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 289 | 492 | 0 | 228 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.36 | 2.31 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.466 | 7.608 | 48.240 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 279 | 439 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.49 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 5.842 | 38.788 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 286 | 386 | 0 | 202 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.78 | 2.40 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 6.152 | 32.193 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 70 | 292 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 2.47 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 2.966 | 24.692 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 184 | 194 | 0 | 162 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.22 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.379 | 4.029 | 27.478 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 180 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 3.929 | 25.629 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 4.217 | 37.333 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 306 | 273 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 1.28 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.456 | 6.021 | 45.271 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 168 | 291 | 413 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.77 | 2.52 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.714 | 4.229 | 10.854 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 140 | 262 | 253 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.93 | 1.86 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.675 | 2.598 | 7.785 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 116 | 201 | 200 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.83 | 1.82 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 1.415 | 3.937 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 115 | 202 | 198 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.84 | 1.80 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 1.050 | 5.028 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 116 | 317 | 199 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.83 | 1.78 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.548 | 2.279 | 5.837 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 144 | 318 | 215 | 0 | 207 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 2.27 | 1.54 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.703 | 4.957 | 6.577 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 172 | 347 | 229 | 0 | 217 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.07 | 1.36 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.777 | 3.343 | 6.965 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |